ENGLISH

Infinite Dimensional Optimization and Control Theory

By Hector O. Fattorini

Book information

Publisher
Cambridge University Press
Year
1999
ISBN
0521451256, 9780521451253
Language
english
Format
PDF
Filesize
35 MB (37028601 bytes)
Series
Encyclopedia of Mathematics and its Applications
Edition
1
Pages
816\818
Time added
2017-07-09 22:57:48
Cybernetics;Computer Science;Computers & Technolog

Description

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

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